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Finding the Fourth Proportional to 8,271.64, 12,409.98 and 3,340.36

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Solution

The fourth proportional to 8,271.64, 12,409.98 and 3,340.36 is: 5,011.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,271.64 : 12,409.98 = 3,340.36 : x
  2. Step 2: Convert to fraction form
    8,271.64/12,409.98 = 3,340.36/x
  3. Step 3: Cross multiply
    8,271.64x = 12,409.98 × 3,340.36
  4. Step 4: Simplify right side
    8,271.64x = 41,453,800.79
  5. Step 5: Solve for x
    x = 41,453,800.79/8,271.64
  6. Step 6: Final answer
    x = 5,011.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.